Gradient flows with jumps associated with nonlinear Hamilton-Jacobi equations with jumps

Details Gradient flows with jumps associated with nonlinear Hamilton-Jacobi equations with jumps Gradient flows with jumps associated with nonlinear Hamilton-Jacobi equations with jumps

2012-03-08

arxiv.org/abs/1203.1741v1

Mathematics

Analysis of PDEs

11 pages. Published in "mathematical Reports"

Scientific paper

We analyze gradient flows with jumps generated by a finite set of complete vector fields in involution using some Radon measures $u\in \mathcal{U}_a$ as admissible perturbations. Both the evolution of a bounded gradient flow $\{x^u(t,\l)\in B(x^*,3\g)\subseteq \mbn: \,t\in[0,T],\,\l\in B(x^*,2\g)\}$ and the unique solution $\l=\psi^u(t,x)\in B(x^*,2\g)\subseteq \mbn$ of integral equation $x^u(t,\l)=x\in B(x^*,\g), \,t\in[0,T]$, are described using the corresponding gradient representation associated with flow and Hamilton-jacobi equations.

Affiliated with

Also associated with

No associations

Rating

Gradient flows with jumps associated with nonlinear Hamilton-Jacobi equations with jumps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gradient flows with jumps associated with nonlinear Hamilton-Jacobi equations with jumps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gradient flows with jumps associated with nonlinear Hamilton-Jacobi equations with jumps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17071